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Finding the Fourth Proportional to 255,266, 352,267.20 and 142,096.16

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Solution

The fourth proportional to 255,266, 352,267.20 and 142,096.16 is: 196,092.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,266 : 352,267.20 = 142,096.16 : x
  2. Step 2: Convert to fraction form
    255,266/352,267.20 = 142,096.16/x
  3. Step 3: Cross multiply
    255,266x = 352,267.20 × 142,096.16
  4. Step 4: Simplify right side
    255,266x = 50,055,816,413.95
  5. Step 5: Solve for x
    x = 50,055,816,413.95/255,266
  6. Step 6: Final answer
    x = 196,092.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.